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snow_lady [41]
3 years ago
15

Which of the following is the sum of 1/2 and -2/3

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

- 1/6

Step-by-step explanation:

find the common denominators 3/6 - 4/6 = - 1/6

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What is the time elaspsed between 11:00 and 2:15
hichkok12 [17]
From 11 am to 2:15 pm it is 3 hrs and 15 min
4 0
3 years ago
Read 2 more answers
A wise man once said, "500 reduced by 4 times my age is 160." What is his age?
babymother [125]

Answer:

165 years old

Step-by-step explanation:

For now let his age be = x

According to the question,

4x - 500 = 160

4x = 160 + 500

4x = 660

x = 660 / 4

x = <u>165 years old</u>

<u></u>

(He is tooooo wise)

<u>Hope it helps!</u>

<u></u>

<u>Mark it as Brainliest</u>

3 0
3 years ago
(1 point) Consider the function f(x)=2x3−9x2−60x+1 on the interval [−4,9]. Find the average or mean slope of the function on thi
OlgaM077 [116]

Answer: c = 4.97 and c = -1.97

Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

f'(c) = \frac{f(b)-f(a)}{b-a}

So, for the function f(x) = 2x^{3}-9x^{2}-60x+1 on interval [-4,9]

f'(x) = 6x^{2}-18x-60

f(-4) = 2.(-4)^{3}-9.(-4)^{2}-60.(-4)+1

f(-4) = 113

f(9) = 2.(9)^{3}-9.(9)^{2}-60.(9)+1

f(9) = 100

Calculating average:

6c^{2}-18c-60 = \frac{100-113}{9-(-4)}

6c^{2}-18c-60 = -1

6c^{2}-18c-59 = 0

Resolving through Bhaskara:

c = \frac{18+\sqrt{1740} }{12}

c = \frac{18+41.71 }{12} = 4.97

c = \frac{18-41.71 }{12} = -1.97

<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>

7 0
3 years ago
Solve. 4(a + 2) = 14 – 2(3 – 2a)
kykrilka [37]

Answer:

C. All Real Numbers

Step-by-step explanation:

If you take any variable and do the math with that variable on both sides of the equation the answer is always balanced. So, the answer is C.


4 0
3 years ago
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
dedylja [7]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
5 0
4 years ago
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